TY - BOOK AU - Antohe,dStefan AU - Antohe,Vlad-Andrei ED - Institute of Physics (Great Britain), TI - Electrostatics: formalism of the electrostatic field in vacuum and matter T2 - [IOP release $release] SN - 9780750358590 AV - QC571 .A584 2023eb PY - 2023///] CY - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) PB - IOP Publishing KW - Electrostatics KW - Electricity, electromagnetism & magnetism KW - bicssc KW - SCIENCE / Physics / Electromagnetism KW - bisacsh N1 - "Version: 20230801"--Title page verso; Includes bibliographical references; 1. Electrostatic field in vacuum -- 1.1. Electrization state -- 1.2. Electric charge. Definition. Properties -- 1.3. Electrostatic interactions. Coulomb's formula -- 1.4. The electrostatic field; 2. The electrostatic potential -- 2.1. Electrostatic potential of a point charge -- 2.2. Superposition principle for the potential -- 2.3. Physical meaning of the electrostatic potential -- 2.4. The electric voltage -- 2.5. Equipotential surfaces -- 2.6. The theorem of the electrostatic potential; 3. Flux of the electrostatic field -- 3.1. The flux of a vector field -- 3.2. Integral form of Gauss' law for electric field -- 3.3. Differential form of Gauss' law -- 3.4. Poisson and Laplace equations -- 3.5. Maxwell's equations for electrostatic field -- 3.6. Electric energy of point charge systems; 4. Particular systems of charges -- 4.1. The electric dipole -- 4.2. The electric quadrupole -- 4.3. Multipolar expansion of electrostatic potential; 5. Conductors within electrostatic fields -- 5.1. Conductors at electrostatic equilibrium -- 5.2. Green's theorem -- 5.3. Force on the surface of a charged conductor. Electrostatic pressure -- 5.4. The energy of a charged conductor -- 5.5. Theorem of the corresponding elements -- 5.6. Electric field in a hollow conductor. Electrostatic shielding -- 5.7. Simple systems of conductors; 6. Capacitance and capacitors -- 6.1. Capacitance of an insulated conductor -- 6.2. Capacitance and potential coefficients -- 6.3. Ideal capacitors -- 6.4. Combinations of capacitors -- 6.5. Electric energy of a system of conductors; 7. Dielectric materials -- 7.1. Bound charge and dielectrics -- 7.2. Polarization state -- 7.3. Potential and electric field of the polarized dielectrics -- 7.4. Polarization charge densities -- 7.5. Electric displacement vector -- 7.6. Boundary conditions for D[right arrow] and E[right arrow]; 8. Microscopic approach on the polarization of dielectrics -- 8.1. Atomic and molecular dipoles. Induced dipole moments -- 8.2. Polarization of a non-polar dielectric. Elastic polarization -- 8.3. Polarization of a polar dielectric. Orientational polarization; 9. Energy in the presence of dielectrics -- 9.1. Energy of a capacitor -- 9.2. Electrostatic energy -- 9.3. Thompson's theorem -- 9.4. Ponderomotive actions in the electric field -- 9.5. Theorems of generalized forces. Applications -- 9.6. Mechanical stresses in the electric field -- 9.7. Mechanical forces between any two media; Appendix A. Three-orthogonal curvilinear coordinate systems -- Appendix B. Elements of vector analysis -- Appendix C. Universal physical constants; Professional and scholarly; Also available in print N2 - This book is derived from modules forming a full course in electricity and magnetism (E&M) as given by the authors. The book starts with the definition of the electrization state, describing both the electrization state of charged and polarized bodies, respectively, and goes on to discuss how the electric field develops in conductors to electrostatic equilibrium, as well as in insulating materials, especially in dielectrics. This book is suitable for students taking a general E&M course or those undertaking a more specialized course in electrostatics. The advanced math support required to follow the scientific content of the book is provided through appendices, and theoretical concepts are consistently blended with examples of real-life applications. It contains numerous worked examples and exercises that will help students to secure an excellent assimilation of the knowledge, as well as a deep understanding of the physical phenomena under discussion and representing the most important methods to solve electrostatic problems UR - https://iopscience.iop.org/book/mono/978-0-7503-5859-0 ER -